Question Detail

PHY 104 Wave and sound Objective Question
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Question

The document states that the speed of a transverse wave on a string is given by the formula v = √(F/μ), where F is the tension and μ is the mass per unit length. Which of the following statements accurately describes how changes in tension and mass per unit length affect the wave speed?
Options
A The speed increases with increasing <i>μ</i> and decreases with increasing <i>F</i>.
B The speed increases with increasing <i>F</i> and decreases with increasing <i>μ</i>.
Correct Answer
C The speed decreases with increasing <i>F</i> and increases with increasing <i>μ</i>.
D The speed is independent of both <i>F</i> and <i>μ</i>.
Correct Answer

Option B is the correct answer.

Detailed Explanation

As stated in the document (page 5, 'Speed of Waves on a String' section), 'We observe that the speed is large if the tension is large and the mass per unit length is small.' This directly implies that the speed of the wave increases when the tension F increases and decreases when the mass per unit length μ increases.

Hint

Look at the formula v = √(F/μ) and consider how the numerator and denominator affect the value of v.

Question Info

Course: PHY 104
Topic: Wave and sound
Type: Objective
Difficulty: Not specified
Question 329 of 947
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